Greatest Common Factor of 27/80, 506/91, 716/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/80, 506/91, 716/417

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 27/80,506/91,716/417

Given fractions are 27/80,506/91,716/417

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 27,506,716

Greatest Common Factor of Numerators i.e. GCF of 27,506,716 is 1 .

LCM of Denominators means LCM of 80,91,417 as per the given fractions.

LCM of 80,91,417 is 3035760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,506,716

GCF of Fractions 27/80,506/91,716/417 is 1/3035760

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 27,506,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,506,716 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 27,506,716 . The biggest common factor number is the GCF number.
So the greatest common factor 27,506,716 is 1.

Lets's calculate LCM of 80,91,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 3035760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3035760

Therefore, the GCF of Fractions 27/80,506/91,716/417 is 1/3035760

Least Common Multiple of 80,91,417 with GCF Formula

Least Common Multiple of 80,91,417 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,91,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,91,417) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(80,91,417) x common factors =1 x 1 = 1

LCM(80,91,417) = ( 80 × 91 × 417 ) / 1

LCM(80,91,417) = 3035760 / 1

LCM(80,91,417) = 3035760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 27/80, 506/91, 716/417

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 27/80, 506/91, 716/417?

Answer: GCF of Numerators as per given numbers 27/80, 506/91, 716/417 is

GCF of Numerators i.e. for 27,506,716 is 1

LCM of denominators i.e. for 80,91,417 is 3035760.

Thus, GCF of Fractions is 1/3035760.Finally, GCF of Fractions for 27/80, 506/91, 716/417 is 1/3035760.